document.write( "Question 823370: Please help me solve this equation:\r
\n" );
document.write( "\n" );
document.write( "What is the inverse of the matrix?\r
\n" );
document.write( "\n" );
document.write( " [ 10 -3 ]
\n" );
document.write( " [ 3 -1 ] \n" );
document.write( "
Algebra.Com's Answer #495467 by erica65404(394)![]() ![]() You can put this solution on YOUR website! If you want more help from me, visit MathHelp.createaforum.com for free unlimited help and step by step solutions \n" ); document.write( "--------------------------------------------------------------------------- \n" ); document.write( "If we look at the following matrix \n" ); document.write( "[a d] \n" ); document.write( "[c b] \n" ); document.write( "To find the inverse, you would first multiply c and d by a -1. \n" ); document.write( "[a -d] \n" ); document.write( "[-c b] \n" ); document.write( "then you would switch a and b's positions \n" ); document.write( "[b -d] \n" ); document.write( "[-c a] \n" ); document.write( "then multiply all the numbers in the matrix by .1 \n" ); document.write( "--------------------------------------------------------------------------- \n" ); document.write( "[10 -3] \n" ); document.write( "[3 -1] \n" ); document.write( "multiply c and d by -1 \n" ); document.write( "[10 3] \n" ); document.write( "[-3 -1] \n" ); document.write( "then switch a and b's position \n" ); document.write( "[-1 3] \n" ); document.write( "[-3 10] \n" ); document.write( "now multiply everything by .1 \n" ); document.write( "[-.1 .3] \n" ); document.write( "[-.3 1] \n" ); document.write( "This is the inverse \n" ); document.write( " |